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Finding the Fourth Proportional to 2,572.85, 3,548.41 and 1,577.43

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Solution

The fourth proportional to 2,572.85, 3,548.41 and 1,577.43 is: 2,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.85 : 3,548.41 = 1,577.43 : x
  2. Step 2: Convert to fraction form
    2,572.85/3,548.41 = 1,577.43/x
  3. Step 3: Cross multiply
    2,572.85x = 3,548.41 × 1,577.43
  4. Step 4: Simplify right side
    2,572.85x = 5,597,364.44
  5. Step 5: Solve for x
    x = 5,597,364.44/2,572.85
  6. Step 6: Final answer
    x = 2,175.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.